Finite Group DatabasebetaFinite Group Databasebeta| order | 6400 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C4 |
| direct product | C4×D8×#1043 |
| Fitting | C4×C52×D8 ⋊ C4 |
| Sylow | C52 ⋊ C42×D8 |
5400 conjugacy classes of subgroups.
| transitive degree | μt(G) = 800 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #1043×#2177, #1043×#1580, #1043×#1333 |
| maximal normal subgroup of | #1043×#2177, #1043×#1580, #1043×#1333 |
| maximal quotient of | #1043×#2177 |
Past the SmallGroups library coverage — no SmallGroups id.